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In a survey of xavirs's school of Bhuban...

In a survey of xavirs's school of Bhubaneswar of 200 students, It was found that 120 study math, 90 study physics, 70 study shemistry, 40 study math and physics, 30 study physics and chemistry, 50 study chemistry and math and 20 study none of these subjects then the number of students study all the subjects is :

A

`20`

B

`30`

C

`10`

D

`18`

Text Solution

Verified by Experts

The correct Answer is:
A
In a survey of xavirs's ………………
`n(AuuBuuA) = n(A)+n(B)+n(C )-n(AnnB)`
`-n(BnnC)-n(AnnC)+n(AnnBnnC)`
`implies 180=120+90+70-40-30-50+n(AnnBnnC)`
`implies n(AnnBnnC) = 20`
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